|
| 1 | +from __future__ import annotations |
| 2 | + |
| 3 | +import numpy as np |
| 4 | +from rclpy.node import Node |
| 5 | +from rclpy.time import Time |
| 6 | +from rosgraph_msgs.msg import Clock |
| 7 | +import rowan |
| 8 | + |
| 9 | +from ..sim_data_types import Action, State |
| 10 | + |
| 11 | + |
| 12 | +class Backend: |
| 13 | + """Backend that uses a SASlab custom dynamics model.""" |
| 14 | + |
| 15 | + def __init__(self, node: Node, names: list[str], states: list[State], dt: float): |
| 16 | + self.node = node |
| 17 | + self.names = names |
| 18 | + self.clock_publisher = node.create_publisher(Clock, "clock", 10) |
| 19 | + self.t = 0 |
| 20 | + self.dt = dt |
| 21 | + |
| 22 | + self.uavs = [] |
| 23 | + self.uavs_takeoff = [] |
| 24 | + for state in states: |
| 25 | + uav = Quadrotor(state) |
| 26 | + self.uavs.append(uav) |
| 27 | + uav_backup = QuadrotorNumpy(state) |
| 28 | + self.uavs_takeoff.append(uav_backup) |
| 29 | + |
| 30 | + def time(self) -> float: |
| 31 | + return self.t |
| 32 | + |
| 33 | + def step( |
| 34 | + self, |
| 35 | + states_desired: list[State], |
| 36 | + actions: list[Action], |
| 37 | + disturbances: list[State], |
| 38 | + ) -> list[State]: |
| 39 | + # advance the time |
| 40 | + self.t += self.dt |
| 41 | + next_states = [] |
| 42 | + for i, (uav, action, disturbance) in enumerate(zip(self.uavs, actions, disturbances)): |
| 43 | + backup_uav = self.uavs_takeoff[i] |
| 44 | + if isinstance(action, np.ndarray): |
| 45 | + uav.step(action, self.dt, disturbance=disturbance) |
| 46 | + next_states.append(uav.state) |
| 47 | + backup_uav.state = uav.state |
| 48 | + else: |
| 49 | + backup_uav.step(action, self.dt, disturbance=disturbance) |
| 50 | + next_states.append(backup_uav.state) |
| 51 | + uav.state = backup_uav.state |
| 52 | + |
| 53 | + # print(states_desired, actions, next_states) |
| 54 | + # publish the current clock |
| 55 | + clock_message = Clock() |
| 56 | + clock_message.clock = Time(seconds=self.time()).to_msg() |
| 57 | + self.clock_publisher.publish(clock_message) |
| 58 | + |
| 59 | + return next_states |
| 60 | + |
| 61 | + def shutdown(self): |
| 62 | + pass |
| 63 | + |
| 64 | + |
| 65 | +class QuadrotorNumpy: |
| 66 | + """Basic rigid body quadrotor model (no drag) using numpy and rowan. |
| 67 | + Assumes control is forces.""" |
| 68 | + |
| 69 | + def __init__(self, state): |
| 70 | + # parameters (Crazyflie 2.0 quadrotor) |
| 71 | + self.mass = 0.034 # kg |
| 72 | + # self.J = np.array([ |
| 73 | + # [16.56,0.83,0.71], |
| 74 | + # [0.83,16.66,1.8], |
| 75 | + # [0.72,1.8,29.26] |
| 76 | + # ]) * 1e-6 # kg m^2 |
| 77 | + self.J = np.array([16.571710e-6, 16.655602e-6, 29.261652e-6]) |
| 78 | + |
| 79 | + # Note: we assume here that our control is forces |
| 80 | + arm_length = 0.046 # m |
| 81 | + arm = 0.707106781 * arm_length |
| 82 | + t2t = 0.006 # thrust-to-torque ratio |
| 83 | + self.B0 = np.array([ |
| 84 | + [1, 1, 1, 1], |
| 85 | + [-arm, -arm, arm, arm], |
| 86 | + [-arm, arm, arm, -arm], |
| 87 | + [-t2t, t2t, -t2t, t2t] |
| 88 | + ]) |
| 89 | + self.g = 9.81 # not signed |
| 90 | + |
| 91 | + if self.J.shape == (3, 3): |
| 92 | + self.inv_J = np.linalg.pinv(self.J) # full matrix -> pseudo inverse |
| 93 | + else: |
| 94 | + self.inv_J = 1 / self.J # diagonal matrix -> division |
| 95 | + |
| 96 | + self.state = state |
| 97 | + |
| 98 | + def step(self, action, dt, disturbance, f_a=np.zeros(3)): |
| 99 | + |
| 100 | + # convert RPM -> Force |
| 101 | + def rpm_to_force(rpm): |
| 102 | + # polyfit using data and scripts from https://github.com/IMRCLab/crazyflie-system-id |
| 103 | + p = [2.55077341e-08, -4.92422570e-05, -1.51910248e-01] |
| 104 | + force_in_grams = np.polyval(p, rpm) |
| 105 | + force_in_newton = force_in_grams * 9.81 / 1000.0 |
| 106 | + return np.maximum(force_in_newton, 0) |
| 107 | + |
| 108 | + force = rpm_to_force(action.rpm) |
| 109 | + |
| 110 | + # compute next state |
| 111 | + eta = np.dot(self.B0, force) |
| 112 | + f_u = np.array([0, 0, eta[0]]) |
| 113 | + tau_u = np.array([eta[1], eta[2], eta[3]]) |
| 114 | + # dynamics |
| 115 | + # dot{p} = v |
| 116 | + pos_next = self.state.pos + self.state.vel * dt + disturbance.pos * dt |
| 117 | + # mv = mg + R f_u + f_a |
| 118 | + vel_next = self.state.vel + ( |
| 119 | + np.array([0, 0, -self.g]) + |
| 120 | + (rowan.rotate(self.state.quat, f_u) + f_a) / self.mass) * dt + ( |
| 121 | + disturbance.vel * dt |
| 122 | + ) |
| 123 | + |
| 124 | + # dot{R} = R S(w) |
| 125 | + # to integrate the dynamics, see |
| 126 | + # https://www.ashwinnarayan.com/post/how-to-integrate-quaternions/, and |
| 127 | + # https://arxiv.org/pdf/1604.08139.pdf |
| 128 | + # Sec 4.5, https://arxiv.org/pdf/1711.02508.pdf |
| 129 | + omega_global = rowan.rotate(self.state.quat, self.state.omega) |
| 130 | + q_next = rowan.normalize( |
| 131 | + rowan.calculus.integrate( |
| 132 | + self.state.quat, omega_global, dt)) |
| 133 | + |
| 134 | + # mJ = Jw x w + tau_u |
| 135 | + omega_next = self.state.omega + ( |
| 136 | + self.inv_J * (np.cross(self.J * self.state.omega, self.state.omega) + tau_u)) * dt |
| 137 | + |
| 138 | + self.state.pos = pos_next |
| 139 | + self.state.vel = vel_next |
| 140 | + self.state.quat = q_next |
| 141 | + self.state.omega = omega_next |
| 142 | + |
| 143 | + # if we fall below the ground, set velocities to 0 |
| 144 | + if self.state.pos[2] < 0: |
| 145 | + self.state.pos[2] = 0 |
| 146 | + self.state.vel = [0, 0, 0] |
| 147 | + self.state.omega = [0, 0, 0] |
| 148 | + |
| 149 | + |
| 150 | +class Quadrotor: |
| 151 | + """Basic quadrotor model assuming control is attitude + thrust""" |
| 152 | + |
| 153 | + def __init__(self, state): |
| 154 | + self.g = 9.81 # not signed |
| 155 | + self.state = state |
| 156 | + self.internal_state = np.zeros(7) |
| 157 | + self.i = 0 |
| 158 | + |
| 159 | + def step(self, action, dt, disturbance, f_a=np.zeros(3)): |
| 160 | + # dot{p} = v |
| 161 | + if isinstance(action, np.ndarray): |
| 162 | + pos_next = self.state.pos + self.state.vel * dt + disturbance.pos * dt |
| 163 | + # mv = mg + R f_u + f_a |
| 164 | + vel_next = ( |
| 165 | + self.state.vel |
| 166 | + + dt |
| 167 | + * np.array([self.g * action[1], -self.g * action[0], action[3] - self.g]) |
| 168 | + + dt * disturbance.vel |
| 169 | + ) |
| 170 | + ypr = rowan.to_euler(self.state.quat) |
| 171 | + yaw_next = ypr[0] + action[2] * dt |
| 172 | + eulerangles = np.array([yaw_next, action[1], action[0]]) |
| 173 | + q_next = rowan.from_euler(*eulerangles) |
| 174 | + # omega_next = np.array([0, 0, action[2]]) |
| 175 | + omega_next = np.zeros(3) # TODO: check if sufficient |
| 176 | + |
| 177 | + self.state.pos = pos_next |
| 178 | + self.state.vel = vel_next |
| 179 | + self.state.quat = q_next |
| 180 | + self.state.omega = omega_next |
| 181 | + |
| 182 | + # if we fall below the ground, set velocities to 0 |
| 183 | + if self.state.pos[2] < 0: |
| 184 | + self.state.pos[2] = 0 |
| 185 | + self.state.vel = [0, 0, 0] |
| 186 | + self.state.omega = [0, 0, 0] |
| 187 | + else: |
| 188 | + self.state = self.state |
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